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Finding the Third Proportional to 96,697.55 and 147,825.63

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Solution

The third proportional to 96,697.55 and 147,825.63 is: 225,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,697.55 : 147,825.63 = 147,825.63 : x
  2. Step 2: Convert to fraction form
    96,697.55/147,825.63 = 147,825.63/x
  3. Step 3: Cross multiply
    96,697.55x = 147,825.63 × 147,825.63
  4. Step 4: Simplify right side
    96,697.55x = 21,852,417,716.42
  5. Step 5: Solve for x
    x = 21,852,417,716.42/96,697.55
  6. Step 6: Final answer
    x = 225,987.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.